{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,17]],"date-time":"2026-08-17T22:09:59Z","timestamp":1787004599086,"version":"build-2736575974"},"reference-count":39,"publisher":"Institution of Engineering and Technology (IET)","issue":"1","license":[{"start":{"date-parts":[[2025,11,22]],"date-time":"2025-11-22T00:00:00Z","timestamp":1763769600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"},{"start":{"date-parts":[[2025,11,22]],"date-time":"2025-11-22T00:00:00Z","timestamp":1763769600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62463004"],"award-info":[{"award-number":["62463004"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["U2141234"],"award-info":[{"award-number":["U2141234"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["U24A20260"],"award-info":[{"award-number":["U24A20260"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100018537","name":"National Science and Technology Major Project","doi-asserted-by":"publisher","award":["2022ZD0119901"],"award-info":[{"award-number":["2022ZD0119901"]}],"id":[{"id":"10.13039\/501100018537","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["ietresearch.onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["CAAI Trans on Intel Tech"],"published-print":{"date-parts":[[2026,2]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>Recently, the zeroing neural network (ZNN) has demonstrated remarkable effectiveness in tackling time\u2010varying problems, delivering robust performance across both noise\u2010free and noisy environments. However, existing ZNN models are limited in their ability to actively suppress noise, which constrains their robustness and precision in solving time\u2010varying problems. This paper introduces a novel active noise rejection ZNN (ANR\u2010ZNN) design that enhances noise suppression by integrating computational error dynamics and harmonic behaviour. Through rigorous theoretical analysis, we demonstrate that the proposed ANR\u2010ZNN maintains robust convergence in computational error performance under environmental noise. As a case study, the ANR\u2010ZNN model is specifically applied to time\u2010varying matrix inversion. Comprehensive computer simulations and robotic experiments further validate the ANR\u2010ZNN's effectiveness, emphasising the proposed design's superiority and potential for solving time\u2010varying problems.<\/jats:p>","DOI":"10.1049\/cit2.70087","type":"journal-article","created":{"date-parts":[[2025,11,22]],"date-time":"2025-11-22T13:55:12Z","timestamp":1763819712000},"page":"256-266","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Design and Validation of Zeroing Neural Network With Active Noise Rejection Capability for Time\u2010Varying Problems Solving"],"prefix":"10.1049","volume":"11","author":[{"given":"Yilin","family":"Shang","sequence":"first","affiliation":[{"name":"School of Information and Communication Engineering Hainan University  Haikou China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wenbo","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Information and Communication Engineering Hainan University  Haikou China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1700-1996","authenticated-orcid":false,"given":"Dongsheng","family":"Guo","sequence":"additional","affiliation":[{"name":"School of Information and Communication Engineering Hainan University  Haikou China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shan","family":"Xue","sequence":"additional","affiliation":[{"name":"School of Information and Communication Engineering Hainan University  Haikou China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"265","published-online":{"date-parts":[[2025,11,22]]},"reference":[{"key":"e_1_2_10_2_1","volume-title":"Numerical Methods Using MATLAB","author":"Mathews J. H.","year":"2004"},{"key":"e_1_2_10_3_1","volume-title":"Mathematical Programming: Theory and Methods","author":"Sinha S. M.","year":"2006"},{"key":"e_1_2_10_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-85729-148-6"},{"key":"e_1_2_10_5_1","volume-title":"Zhang Neural Networks and Neural\u2010Dynamic Method","author":"Zhang Y.","year":"2011"},{"key":"e_1_2_10_6_1","doi-asserted-by":"publisher","DOI":"10.1109\/tnnls.2014.2317880"},{"key":"e_1_2_10_7_1","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2020.2982416"},{"key":"e_1_2_10_8_1","doi-asserted-by":"publisher","DOI":"10.1109\/tsmc.2018.2836968"},{"key":"e_1_2_10_9_1","doi-asserted-by":"publisher","DOI":"10.1109\/tnnls.2021.3106044"},{"key":"e_1_2_10_10_1","doi-asserted-by":"publisher","DOI":"10.1109\/tnn.2002.1031938"},{"key":"e_1_2_10_11_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAI.2025.3556095"},{"key":"e_1_2_10_12_1","doi-asserted-by":"publisher","DOI":"10.1109\/tii.2020.2989173"},{"key":"e_1_2_10_13_1","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2024.3401109"},{"key":"e_1_2_10_14_1","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2020.2981001"},{"key":"e_1_2_10_15_1","doi-asserted-by":"publisher","DOI":"10.1109\/tsmc.2019.2930763"},{"key":"e_1_2_10_16_1","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2022.3144135"},{"key":"e_1_2_10_17_1","doi-asserted-by":"publisher","DOI":"10.1109\/tmc.2024.3397242"},{"key":"e_1_2_10_18_1","doi-asserted-by":"publisher","DOI":"10.1109\/tie.2025.3566731"},{"key":"e_1_2_10_19_1","doi-asserted-by":"publisher","DOI":"10.1109\/tii.2020.3021438"},{"key":"e_1_2_10_20_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2020.03.043"},{"key":"e_1_2_10_21_1","doi-asserted-by":"publisher","DOI":"10.1109\/tnnls.2015.2497715"},{"key":"e_1_2_10_22_1","doi-asserted-by":"publisher","DOI":"10.1109\/jas.2023.123603"},{"key":"e_1_2_10_23_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2022.08.036"},{"key":"e_1_2_10_24_1","doi-asserted-by":"publisher","DOI":"10.1109\/tie.2016.2590379"},{"key":"e_1_2_10_25_1","doi-asserted-by":"publisher","DOI":"10.1109\/tnnls.2019.2891252"},{"key":"e_1_2_10_26_1","doi-asserted-by":"publisher","DOI":"10.1109\/tii.2018.2867169"},{"key":"e_1_2_10_27_1","doi-asserted-by":"publisher","DOI":"10.1109\/tnnls.2020.2966294"},{"key":"e_1_2_10_28_1","doi-asserted-by":"publisher","DOI":"10.1109\/tcyb.2019.2906263"},{"key":"e_1_2_10_29_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2021.116272"},{"key":"e_1_2_10_30_1","doi-asserted-by":"publisher","DOI":"10.1109\/tii.2023.3241683"},{"key":"e_1_2_10_31_1","doi-asserted-by":"publisher","DOI":"10.1109\/access.2024.3382189"},{"key":"e_1_2_10_32_1","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2023.3280527"},{"key":"e_1_2_10_33_1","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2019.2944517"},{"key":"e_1_2_10_34_1","doi-asserted-by":"publisher","DOI":"10.1109\/tii.2024.3476530"},{"key":"e_1_2_10_35_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2017.11.011"},{"key":"e_1_2_10_36_1","doi-asserted-by":"publisher","DOI":"10.1109\/tsmc.2020.2998485"},{"key":"e_1_2_10_37_1","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2024.3401109"},{"key":"e_1_2_10_38_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84628-642-1"},{"key":"e_1_2_10_39_1","doi-asserted-by":"publisher","DOI":"10.1002\/9781119557005"},{"key":"e_1_2_10_40_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-90848-5"}],"container-title":["CAAI Transactions on Intelligence Technology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/ietresearch.onlinelibrary.wiley.com\/doi\/pdf\/10.1049\/cit2.70087","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/ietresearch.onlinelibrary.wiley.com\/doi\/full-xml\/10.1049\/cit2.70087","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/ietresearch.onlinelibrary.wiley.com\/doi\/pdf\/10.1049\/cit2.70087","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,18]],"date-time":"2026-05-18T11:52:44Z","timestamp":1779105164000},"score":1,"resource":{"primary":{"URL":"https:\/\/ietresearch.onlinelibrary.wiley.com\/doi\/10.1049\/cit2.70087"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,11,22]]},"references-count":39,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2026,2]]}},"alternative-id":["10.1049\/cit2.70087"],"URL":"https:\/\/doi.org\/10.1049\/cit2.70087","archive":["Portico"],"relation":{},"ISSN":["2468-6557","2468-2322"],"issn-type":[{"value":"2468-6557","type":"print"},{"value":"2468-2322","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,11,22]]},"assertion":[{"value":"2025-04-16","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-07-29","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-11-22","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}